51 
Those who cultivate the natural sciences, so called, haye been making 
and sifting vast accumulations of important facts with an enthusiasm, 
energy, patience and self-devotion which form an impressive illustration 
of the self-denial, the intelligent consecration of self to the race, the 
sublime purpose in life of the educated man of to-day. Where in history 
will you find finer examples of chivalric self-renunciation than are oc- 
curring among these men and women every day? Natural history has 
had its profound generalization. From the nature of the scientific laws 
of the origin of species. and from their fancied bearing upon religion as 
well as science, every foot of ground has been bitterly contested. Even 
to-day Darwinianism bas many confident enemies. The controversy has 
reached that stage. bowever. where something akin to mathematical 
demonstration is needed if the theory would make further serious ad- 
vance. To this last chapter Indiana is worthily making its contribution; 
but when an attempt is made to discuss observations and esfablish re- 
sults upon higher ground, the calculus again comes into requisition. In- 
deed, so should it be, as the problem here presented is simply this: Can 
small accidental variation be integrated into specific differences? 
Geology in its dynamical aspects, in its discussions of the earth’s in- 
terior, and in questions of time necessary for the deposition of strata 
under varying conditions must sooner or later resort to the infinitesimal 
analysis. 
To these will be added surface problems similar perhaps to the one 
suggested by a geologist. He asked that the calculus should be applied 
to determine the way in which varying temperatures apart from rain or 
frost may round off angular fragments of rock. 
As political economy grows in certainty and increases in exactness, 
it is found that it becomes a proper field for the higher analysis. Econo- 
mists, in fact. who desire to get the full content from the material which 
they try to interpret and generalize are coming to the calculus for an 
essential part of their equipment. In 18388 Augustin Carnot wrote upon 
the mathematical principles of the theory of wealth. Recently this has 
been translated in America, and a Yale professor has published a little 
work on the calculus to enable those to understand it who are untrained 
in higher mathematics. In all products which may freely invite competi- 
tion there are certain ascertainable relations among quantity, demand, 
price and profit. These are expressible in analyti¢ form, can be operated 
